Probabilistic Bernoulli and Euler Polynomials

• Published in: Russian journal of mathematical physics Vol. 31; no. 1; pp. 94 - 105
• Main Authors: Kim, T., Kim, D. S.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.03.2024; Springer Nature B.V
• Subjects: 14/34; 639/766/189; 639/766/530; 639/766/747; Combinatorial analysis; Mathematical and Computational Physics; Parameters; Physics; Physics and Astronomy; Polynomials; Random variables; Statistical analysis; Theoretical

Let be a random variable whose moment generating function exists in a neighborhood of the origin. The aim of this paper is to introduce and study the probabilistic extension of Bernoulli polynomials and Euler polynomials, namely the probabilistic Bernoulli polynomials associated and the probabilisti...